She won her maiden WTA Tour doubles title at the 2021 Transylvania Open, partnering Ekaterine Gorgodze.

[1] Bara made her WTA Tour debut in singles at the 2017 Bucharest Open, when she lost as a wildcard player in the first round to Aliaksandra Sasnovich.

[6][7] At the 2018 Moscow River Cup, she defeated Ekaterina Alexandrova before she was eliminated by Anastasija Sevastova in the second round.

[8] In 2019, at the Baltic Open in Jūrmala, she reached her first and so far only quarterfinal, where she beat two Russian players, Margarita Gasparyan and Valentina Ivakhnenko, in the first two rounds, before losing to Sevastova.

[9] Her other WTA Tour performances that year were unsuccessful, losing in the first round in Acapulco to Beatriz Haddad Maia, in Bogotá to Sara Errani, in İstanbul to fellow Romanian Sorana Cîrstea, in Rabat to Hercog, and finally in Bucharest to Jaimee Fourlis.

[4] The other significant thing there was that she also recorded her first win, defeating 26th seed Donna Vekić in straight sets.

In September, Irina won her first out of three WTA Challenger titles in the season, partnering with Ekaterine Gorgodze.

In October, Bara won her first WTA Tour title, playing again with Gorgodze at the Transylvania Open in her home country.

Partnering with Sara Errani, Bara won the doubles title at the WTA 125 Argentina Open, defeating Jang Su-jeong and You Xiaodi in the final.